- Paperback: 160 pages
- Publisher: Princeton University Press (May 1, 1963)
- Language: English
- ISBN-10: 0691080089
- ISBN-13: 978-0691080086
- Product Dimensions: 6.1 x 0.4 x 9.2 inches
- Shipping Weight: 8 ounces (View shipping rates and policies)
- Average Customer Review: 8 customer reviews
- Amazon Best Sellers Rank: #1,231,306 in Books (See Top 100 in Books)
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Morse Theory (Annals of Mathematic Studies AM-51) 0th Edition
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This is very easy to read (assuming you are a first year in grad school in Math, or an advanced undergrad.)
Each chapter of the book is a classic. Chapter 2 on Riemannian geometry gives an overview of the subject which can be used as a basis for teaching a course on the same. When the students can fill in the details, they understand the core of the subject.
The age of this book was an issue. Some of Milnor's words are not in common use any more. He doesn't phrase his results in the modern language of tensors, which was troubling for me. With that said, some of Milnor's proofs are so clear and readable that they can't be improved upon. This is a great place to start learning Morse theory, though I'd look at a more modern treatment too if you are serious.